Let `f(x) = max{|x^2 - 2 |x||,|x|}` and `g(x) = min{|x^2 - 2|x||, |x|} `then

Options

A. (a) both f(x) and g(x) are non-differentiable at 5 points
B. (b) f(x) is not differentiable at 5 points whether g(x) is non-differentiable at 7 points
C. (c) number of points of non-differentiability for f(x) and g(x) are 7 and 5 points, respectively
D. (d) both f(x) and g(x) are non-differentiable at 3 and 5 points, respectively

Answer

B